Search a number
-
+
164331774648 = 23335503138251
BaseRepresentation
bin1001100100001011101…
…1111110001010111000
3120201011120020002201000
42121002323332022320
510143022413242043
6203254252125000
714605203015546
oct2310273761270
9521146202630
10164331774648
1163769003608
1227a22466760
131265b832aa2
147d4cd4cd96
15441bdeb2d3
hex2642efe2b8

164331774648 has 64 divisors (see below), whose sum is σ = 456563404800. Its totient is φ = 54766908000.

The previous prime is 164331774647. The next prime is 164331774661. The reversal of 164331774648 is 846477133461.

It is a happy number.

164331774648 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 3 + 177 + 464 + 8 = 666.

It is a super-2 number, since 2×1643317746482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164331774594 and 164331774603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164331774647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119523 + ... + 1257773.

It is an arithmetic number, because the mean of its divisors is an integer number (7133803200).

Almost surely, 2164331774648 is an apocalyptic number.

164331774648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164331774648 is an abundant number, since it is smaller than the sum of its proper divisors (292231630152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164331774648 is a wasteful number, since it uses less digits than its factorization.

164331774648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143769 (or 143759 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 164331774648 in words is "one hundred sixty-four billion, three hundred thirty-one million, seven hundred seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 5503 11006 16509 22012 33018 44024 49527 66036 99054 132072 138251 148581 198108 276502 297162 396216 414753 553004 594324 829506 1106008 1188648 1244259 1659012 2488518 3318024 3732777 4977036 7465554 9954072 14931108 29862216 760795253 1521590506 2282385759 3043181012 4564771518 6086362024 6847157277 9129543036 13694314554 18259086072 20541471831 27388629108 41082943662 54777258216 82165887324 164331774648